British Prime Minister Mr Tony Blair is to issue a public apology to Mr Gerry Conlon and his late father for their wrongful imprisonment over the 1974 Guildford pub bombing.
Mr Conlon and his late father, Guiseppe, were jailed after five people were killed in the attack on the town's Horse and Groom bar.
Even though their sentences were later quashed when doubts over evidence were raised, a campaign for further recognition has intensified.
The Taoiseach Mr Ahern threw his weight behind the Belfast family's fight after meeting them in Dublin last week.
Northern Ireland Secretary Mr Paul Murphy yesterday signalled an apology from Mr Blair could be imminent.
He said: "He has already written of course to the family expressing his view that there was a very serious miscarriage of justice, he very much regrets that, and that he is very sorry for the hurt and suffering of the family.
"I have no doubt that if asked the same in public he would make a similar public apology.
"There are all sorts of ways in which that can happen, but I am sure he will talk to the Taoiseach on Tuesday, the Taoiseach will raise it and they can work it out from there," Mr Murphy said.
Guiseppe Conlon died in prison in 1980 while serving his sentence. But after serious concerns over the convictions were raised, the others were freed when the Court of Appeal quashed their sentences in October 1989.